The pump on my 1999 classic just stopped working between coffees yesterday. I brewed one coffee fine, and when I tried doing a second, the pump wouldn't start. It still makes a click sound when the pump switch is pressed, so the solenoid still works. There's definitely power to the machine because the pid lights up. So I have a couple questions.

Firstly, is there anything I missed in my diagnosis? Maybe there's something obvious to look for when opening the machine...

Secondly, if the pump is broken, is it simple to replace with something like the one in the link? My particular model is quite old, so maybe they don't make compatible pumps anymore